## Elements of Geometry and Trigonometry |

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Page 3

The propositions of Geometry are general truths , and as such , should be stated in general terms , and without reference to particular

The propositions of Geometry are general truths , and as such , should be stated in general terms , and without reference to particular

**figures**. The method of enunciating them by the aid of particular diagrams seems to have been ... Page 5

Planes and Solid Angles , Polyedrons , The Proportions of

Planes and Solid Angles , Polyedrons , The Proportions of

**Figures**and the Measurement of Areas , - Problems relating to the Fourth Book , Oman BOOK V. Regular Polygons and the Measurement of the Circle , BOOK VI . Page 10

A plane

A plane

**figure**is a plane terminated on all sides by lines . A If the lines are straight , the space they enclose is called a rectilineal**figure**, or polygon , and the lines themselves , taken together , form the contour , or perimeter ... Page 30

... taken as many times less two , as the

... taken as many times less two , as the

**figure**has sides . Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain ... Page 31

that is , equal to twice as many right angles as the

that is , equal to twice as many right angles as the

**figure**has sides , wanting four right angles . Hence , the interior angles plus four right A a f / F D angles , is equal to twice as many right angles ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole